166543 ÷ 39 
Our goal is to divide 166543 by 39.

Going ahead to step 1:
When dividing 1 by 39, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 39

Advancing to step 2:
When dividing 16 by 39, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 39

Moving on to step 3:
The number 39 fits into 166 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 156 from 166 leaves us with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 39

Let's proceed to step 4:
The number 39 fits into 105 2 times, leaving a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we take 78 away from 105, we end up with 27.
Fetch the next digit (4) from the dividend, attach it to 27 and continue: 274 / 39

On to step 5:
The number 39 fits into 274 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 427.0
Deduct 273 from 274 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 39

On to step 6:
39 goes into 13 0 times with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 4270.0
Subtract 0 from 13 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
39 can be fit into 130 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 4270.3
Subtracting 117 from 130 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
39 goes into 130 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 4270.33
If we take 117 away from 130, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 4270.33 and a remainder of 0.013.